Using First and Second Differences to Find Out if We have a Parabola or a Straight Line 

Quadratic Functions and Vertex Form, using DESMOS to demonstrate this!  

(a more recent video than the one above)

How to Go From Standard (or Factored) Form to Vertex Form of a Quadratic Equation 

How to Go from Vertex Form to Standard Form of a Quadratic Equation

Writing a Quadratic or a Parabola in Standard Form (Going From Factored Form to Standard Form)

How to Quickly Graph a Parabola (without a graphing calculator) using the 1-3-5 Step Method!

Here's another video on how to graph a parabola when the equation is given to you in Vertex Form       (this is not the 1-3-5 Step Method)

How to Quickly Find the Vertex of a Parabola Given a Quadratic Equation in Factored Form 

How to Determine the Value of 'a' Given the Graph of a Parabola

An Overview of the Transformations of a Quadratic Equation (Parabola)

Determining the Quadratic Equation Given the Zeros and a Point on the Parabola 

Some Real Life Quadratic Problems, and the Axis of Symmetry is also discussed...  

Here are some Real Life Quadratic Situations where a Graphing Calculator is used to help solve the Problem!

Using Quadratics to Quickly Find the Maximum Area of a 3 Sided Fence Given a Certain Perimeter 

Factoring Basic Trinonomials

(where the first term has a coefficient of 1)

Factoring Trinomials Where You First Need to Look for a Common Factor

Perfect Square Trinomials 

Factoring Complex Trinomials Using Decomposition 

Factoring Complex Trinomials Using the Box Method (I think this is the easiest method of all!) 

How to Complete the Square, and Why We Complete the Square! 

How to Avoid Completing the Square Using this Quick Method! (the Fastest Way to Find the Vertex of a Quadratic Equation)

A Quick Summary/Review for Factoring Different Types of Trinomials and Binomials 

How do you SOLVE a Quadratic Equation? (very similar to finding the x-intercepts... but this one is without a graphing calculator)

How to Memorize the Quadratic Formula in 20 Seconds! (and then use it to Solve Quadratic Equations!)

How to Find the x-intercepts of a Parabola by Factoring and Using a Graphing Calculator

What is The Discriminant and How Do You Use It?

Solving a Revenue (Best Ticket Price) Word Problem using the Quadratic Formula 

How to Solve a Falling Object Word Problem Using the Quadratic Formula 

"A Ball is Thrown Into the Air" Type - Question from a Quadratics lesson in Math

A Parabolic Bridge Example/Question

How to Find the Dimensions of a Rectangle using Quadratics and Factoring